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Ronch [10]
3 years ago
6

1. (01.02) Given that f(x) = 4x – 3 and g(x) 2x-1, solve for g(f(2)). (5 points)

Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

Answer:

9

Step-by-step explanation:

The first thing we shall be doing here is substituting f(x) into g(x).

Mathematically, that would be written as g(f(x))

= 2(4x-3)-1 = 8x -6 -1 = 8x - 7

Now we shall find g(f(2)) by substituting 2 into the expression above.

Mathematically, that would be 8(2) -7 = 16-7 = 9

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In a triangle, the sum of the measures of the first two angles is 12 less than the measure of the third angle. In addition, the
USPshnik [31]

The measure of the three angles are  56, 28 , 192 degree

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three vertices an three angles.

It is given to make system of equations

Let the measure of the first , second and third angle be x, y and z

the sum of the measures of the first two angles is 12 less than the measure of the third angle.

x +y = z -12  ----1

the measure of the first angle is twice as big as the measure of the second angle.

x = 2y

Now equation 1 will be

z - 3y = 12

x +y+z = 180

2y +y +z = 180

3y +z = 180 ----2

z - 3y = 12------3

On solving the system of equation 1, 2

2z = 192

z= 96 degree

3y = 180-96

y = 28

x = 56

Therefore the measure of the three angles area  56, 28 , 192 degree.

To know more about Triangle

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8 0
2 years ago
PLZ HURRY ITS TIMEDDD
Dafna11 [192]

Answer:

Option C. 4(20-16y): Each side measures 20-16y units.

Step-by-step explanation:

we know that

The perimeter of a square is equal to

P=4b

where

b is the length side of the square

we have

P=(80-64y)\ units

substitute the given value in the formula

(80-64y)=4b

solve for b

Divide by 4 both sides

(20-16y)=b

Rewrite the expression

b=(20-16y)\ units

<em>Alternative Method</em>

we have

P=(80-64y)\ units

Factor 4

P=4(20-16y)\ units

so

Each side measures (20-16y) units.

7 0
3 years ago
1. (x + 2) &lt; −3(x + 4)<br><br> 2. −3x + 3 &lt; 6
Leno4ka [110]

number 1:

x>\frac{-7}{2}

number 2:

x>-1

7 0
3 years ago
A number to the 12th power divided by the same number to the 9th power equals 125 what is the number
nadezda [96]

If x to the 12th power is divided by x to the 9th power:

Since they share same bases, and are being divided, it would be the same as x^{12 - 9), or x^{3}

Now, simply find the cube root of 125, which is 5.

Therefore, the number (x) must be equal to 5.

<em>Hope this helps! :)</em>

7 0
3 years ago
Find the area of a rectangle with the given base and height<br> 5ft,6 in
anygoal [31]

Answer:

360 inch

Step-by-step explanation:

Step 1: Converting

6inch = 6inch

5ft = 60inch

Step 2: Finding the area

Area of a rectangle = L x B

A = 6 x 60

A = 360inch

8 0
3 years ago
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